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SUMMARY:The Sylvester-Gallai Theorem - Prof. Ben Green (DPMMS)
DTSTART:20121112T203000Z
DTEND:20121112T213000Z
UID:TALK40313@talks.cam.ac.uk
CONTACT:Mary Fortune
DESCRIPTION:The Sylvester-Gallai Theorem states that\, given any set P of 
 n points in the plane\, not all on one line\, there is a line passing thro
 ugh precisely two of them (and "ordinary line"). I will discuss the histor
 y of this theorem and a couple of proofs of it. After that I will hint at 
 some more recent work which establishes that there must in fact be at leas
 t n/2 ordinary lines for all sufficiently large enough n. I'll also discus
 s some examples of sets with few ordinary lines\, which involve some quite
  interesting constructions involving elliptic curves. The talk will be acc
 essible to Part IA students.
LOCATION:Winstanley Lecture Theatre\, Trinity College
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